中立型多项分数阶时变时滞系统的有限时间稳定性

IF 2.6 2区 数学 Q1 MATHEMATICS, APPLIED Journal of Computational and Applied Mathematics Pub Date : 2025-06-01 Epub Date: 2024-12-26 DOI:10.1016/j.cam.2024.116459
K. Kaliraj , P.K. Lakshmi Priya , V. Tamilarasan , S. Suresh
{"title":"中立型多项分数阶时变时滞系统的有限时间稳定性","authors":"K. Kaliraj ,&nbsp;P.K. Lakshmi Priya ,&nbsp;V. Tamilarasan ,&nbsp;S. Suresh","doi":"10.1016/j.cam.2024.116459","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, the finite-time stability of neutral multi-term fractional order system of non-linear type with time-varying input and state delays is investigated. Using the effectiveness of Banach fixed point theorem for generalized metric spaces, new sufficient conditions for finite-time stability of the considered system has been identified. Finally, numerical examples are given to get a better understanding of the theoretical results.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"461 ","pages":"Article 116459"},"PeriodicalIF":2.6000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite time stability of neutral multiterm fractional order time-varying delay systems\",\"authors\":\"K. Kaliraj ,&nbsp;P.K. Lakshmi Priya ,&nbsp;V. Tamilarasan ,&nbsp;S. Suresh\",\"doi\":\"10.1016/j.cam.2024.116459\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, the finite-time stability of neutral multi-term fractional order system of non-linear type with time-varying input and state delays is investigated. Using the effectiveness of Banach fixed point theorem for generalized metric spaces, new sufficient conditions for finite-time stability of the considered system has been identified. Finally, numerical examples are given to get a better understanding of the theoretical results.</div></div>\",\"PeriodicalId\":50226,\"journal\":{\"name\":\"Journal of Computational and Applied Mathematics\",\"volume\":\"461 \",\"pages\":\"Article 116459\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2025-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational and Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0377042724007076\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/12/26 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042724007076","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/12/26 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0

摘要

研究了具有时变输入和状态时滞的非线性中立型多项分数阶系统的有限时间稳定性问题。利用Banach不动点定理在广义度量空间中的有效性,得到了系统有限时间稳定性的新充分条件。最后给出了数值算例,以便更好地理解理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Finite time stability of neutral multiterm fractional order time-varying delay systems
In this paper, the finite-time stability of neutral multi-term fractional order system of non-linear type with time-varying input and state delays is investigated. Using the effectiveness of Banach fixed point theorem for generalized metric spaces, new sufficient conditions for finite-time stability of the considered system has been identified. Finally, numerical examples are given to get a better understanding of the theoretical results.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
5.40
自引率
4.20%
发文量
437
审稿时长
3.0 months
期刊介绍: The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
期刊最新文献
A PDE-based image restoration method: Mathematical analysis and implementation High-order time stepping scheme based on convolution quadrature and its analysis for the time fractional Cattaneo equation with singular source terms and nonsmooth data Portfolio optimization with semi-Tsallis entropy: Managing flexible downside uncertainty in uncertain random environments A Physics-Informed neural network (PINN) for parameter identification in analytical ultracentrifugation (AUC) analysis Stability and complex dynamics in a mixed Cournot-Bertrand duopoly game
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1